/* SPDX-License-Identifier: GPL-2.0 * * Copyright (C) 2015-2018 Jason A. Donenfeld . All Rights Reserved. * * This is based in part on Andrew Moon's poly1305-donna, which is in the * public domain. */ #include #include #include enum { POLY1305_BLOCK_SIZE = 16, POLY1305_KEY_SIZE = 32, POLY1305_MAC_SIZE = 16 }; struct poly1305_ctx { u8 opaque[24 * sizeof(u64)]; u32 nonce[4]; u8 data[POLY1305_BLOCK_SIZE]; size_t num; } __aligned(8); typedef __uint128_t u128; struct poly1305_internal { u64 r[3]; u64 h[3]; u64 s[2]; }; static void poly1305_init_generic(void *ctx, const u8 key[16]) { struct poly1305_internal *st = (struct poly1305_internal *)ctx; u64 t0, t1; /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */ t0 = get_unaligned_le64(&key[0]); t1 = get_unaligned_le64(&key[8]); st->r[0] = (t0) &0xffc0fffffff; st->r[1] = ((t0 >> 44) | (t1 << 20)) & 0xfffffc0ffff; st->r[2] = ((t1 >> 24)) & 0x00ffffffc0f; st->s[0] = st->r[1] * 20; st->s[1] = st->r[2] * 20; /* h = 0 */ st->h[0] = 0; st->h[1] = 0; st->h[2] = 0; } static void poly1305_blocks_generic(void *ctx, const u8 *input, size_t len, const u32 padbit) { struct poly1305_internal *st = (struct poly1305_internal *)ctx; const u64 hibit = padbit ? (1ULL << 40) : 0; u64 r0, r1, r2; u64 s1, s2; u64 h0, h1, h2; u64 c; u128 d0, d1, d2, d; r0 = st->r[0]; r1 = st->r[1]; r2 = st->r[2]; h0 = st->h[0]; h1 = st->h[1]; h2 = st->h[2]; s1 = st->s[0]; s2 = st->s[1]; while (len >= POLY1305_BLOCK_SIZE) { u64 t0, t1; /* h += m[i] */ t0 = get_unaligned_le64(&input[0]); t1 = get_unaligned_le64(&input[8]); h0 += ((t0) &0xfffffffffff); h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff); h2 += (((t1 >> 24)) & 0x3ffffffffff) | hibit; /* h *= r */ d0 = ((u128)h0 * r0); d = ((u128)h1 * s2); d0 += d; d = ((u128)h2 * s1); d0 += d; d1 = ((u128)h0 * r1); d = ((u128)h1 * r0); d1 += d; d = ((u128)h2 * s2); d1 += d; d2 = ((u128)h0 * r2); d = ((u128)h1 * r1); d2 += d; d = ((u128)h2 * r0); d2 += d; /* (partial) h %= p */ c = (u64)(d0 >> 44); h0 = (u64)d0 & 0xfffffffffff; d1 += c; c = (u64)(d1 >> 44); h1 = (u64)d1 & 0xfffffffffff; d2 += c; c = (u64)(d2 >> 42); h2 = (u64)d2 & 0x3ffffffffff; h0 += c * 5; c = (h0 >> 44); h0 = h0 & 0xfffffffffff; h1 += c; input += POLY1305_BLOCK_SIZE; len -= POLY1305_BLOCK_SIZE; } st->h[0] = h0; st->h[1] = h1; st->h[2] = h2; } static void poly1305_emit_generic(void *ctx, u8 mac[16], const u32 nonce[4]) { struct poly1305_internal *st = (struct poly1305_internal *)ctx; u64 h0, h1, h2, c; u64 g0, g1, g2; u64 t0, t1; /* fully carry h */ h0 = st->h[0]; h1 = st->h[1]; h2 = st->h[2]; c = (h1 >> 44); h1 &= 0xfffffffffff; h2 += c; c = (h2 >> 42); h2 &= 0x3ffffffffff; h0 += c * 5; c = (h0 >> 44); h0 &= 0xfffffffffff; h1 += c; c = (h1 >> 44); h1 &= 0xfffffffffff; h2 += c; c = (h2 >> 42); h2 &= 0x3ffffffffff; h0 += c * 5; c = (h0 >> 44); h0 &= 0xfffffffffff; h1 += c; /* compute h + -p */ g0 = h0 + 5; c = (g0 >> 44); g0 &= 0xfffffffffff; g1 = h1 + c; c = (g1 >> 44); g1 &= 0xfffffffffff; g2 = h2 + c - (1ULL << 42); /* select h if h < p, or h + -p if h >= p */ c = (g2 >> ((sizeof(u64) * 8) - 1)) - 1; g0 &= c; g1 &= c; g2 &= c; c = ~c; h0 = (h0 & c) | g0; h1 = (h1 & c) | g1; h2 = (h2 & c) | g2; /* h = (h + nonce) */ t0 = ((u64)nonce[1] << 32) | nonce[0]; t1 = ((u64)nonce[3] << 32) | nonce[2]; h0 += ((t0) &0xfffffffffff); c = (h0 >> 44); h0 &= 0xfffffffffff; h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff) + c; c = (h1 >> 44); h1 &= 0xfffffffffff; h2 += (((t1 >> 24)) & 0x3ffffffffff) + c; h2 &= 0x3ffffffffff; /* mac = h % (2^128) */ h0 = (h0 | (h1 << 44)); h1 = ((h1 >> 20) | (h2 << 24)); put_unaligned_le64(h0, &mac[0]); put_unaligned_le64(h1, &mac[8]); } void poly1305_donna64(unsigned char *out, const unsigned char *in, unsigned long long inlen, const unsigned char *k) { size_t rem; struct poly1305_ctx ctx; ctx.nonce[0] = get_unaligned_le32(&k[16]); ctx.nonce[1] = get_unaligned_le32(&k[20]); ctx.nonce[2] = get_unaligned_le32(&k[24]); ctx.nonce[3] = get_unaligned_le32(&k[28]); poly1305_init_generic(ctx.opaque, k); ctx.num = 0; rem = inlen % POLY1305_BLOCK_SIZE; inlen -= rem; if (inlen >= POLY1305_BLOCK_SIZE) { poly1305_blocks_generic(ctx.opaque, in, inlen, 1); in += inlen; } if (rem) { memcpy(ctx.data, in, rem); ctx.data[rem++] = 1; /* pad bit */ while (rem < POLY1305_BLOCK_SIZE) ctx.data[rem++] = 0; poly1305_blocks_generic(ctx.opaque, ctx.data, POLY1305_BLOCK_SIZE, 0); } poly1305_emit_generic(ctx.opaque, out, ctx.nonce); }